Any body know what is Lo'hoptal rule and how we use it in solving limit is I found it in enterance question in Freedom learning app. Please admin approve it fast
Simply put, if you get 0/0 or inf/inf, when trying direct substitution, derivative both the numerator and denominator and try again, repeat the process until you get a definite format answer
Mar 09, 2024Extreme lay ale
Mar 12, 2024The L'Hopital's Rule is a mathematical theorem that helps us find the limit of a function that takes on the indeterminate form 0/0 or β/β. It states that if the limit of the ratio of two functions f(x)/g(x) is of the form 0/0 or β/β as x approaches a certain value, then the limit of this ratio is equal to the limit of the ratio of the derivatives of the two functions, i.e., lim (f(x)/g(x)) = lim (f'(x)/g'(x)). In other words, to use L'Hopital's Rule to solve a limit, you can take the derivative of the numerator and the derivative of the denominator separately, and then evaluate the limit of the new ratio of derivatives. If the new ratio still takes on the indeterminate form, you can repeat the process until you obtain a determinate form, or conclude that the limit does not exist. It is important to note that L'Hopital's Rule can only be used when the original limit is in the indeterminate form 0/0 or β/β, and the functions f(x) and g(x) are differentiable.
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